Rank and Order of a Finite Group Admitting a Frobenius Group of Automorphisms
نویسندگان
چکیده
منابع مشابه
Rank and order of a finite group admitting a Frobenius group of automorphisms
Suppose that a finite group G admits a Frobenius group of automorphisms FH of coprime order with kernel F and complement H. In the case where G is a finite p-group such that G = [G,F ] it is proved that the order of G is bounded above in terms of the order of H and the order of the fixed-point subgroup CG(H) of the complement, and the rank of G is bounded above in terms of |H| and the rank of C...
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In this paper we present the classification of symmetric designs with parameters (79, 27, 9) on which a nonabelian group of order 39 acts faithfully. In particular, we show that such a group acts semi-standardly with 7 orbits. Using the method of tactical decompositions, we are able to construct exactly 1463 non-isomorphic designs. The orders of the full automorphism groups of these designs all...
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چکیده پایان نامه (شامل خلاصه، اهداف، روش های اجرا و نتایج به دست آمده): کار جمع آوری گو یش های محلی در سال های اخیر شتاب امیدوار کننده ای به خود گرفته است. شاید از بارزترین اهداف جمع آوری گویش های مختلف، ثبت و ضبط آن، جلوگیری از نابودی و مهمتر از همه حل مشکلات دستوری زبان رسمی باشد. دقت در فرآیند های زبانی گویش های محلی نوع ارتباط مردم نواحی مختلف با پیرامون نشان را به ما نشان خواهد داد. از س...
On Marginal Automorphisms of a Group Fixing the Certain Subgroup
Let W be a variety of groups defined by a set W of laws and G be a finite p-group in W. The automorphism α of a group G is said to bea marginal automorphism (with respect to W), if for all x ∈ G, x−1α(x) ∈ W∗(G), where W∗(G) is the marginal subgroup of G. Let M,N be two normalsubgroups of G. By AutM(G), we mean the subgroup of Aut(G) consistingof all automorphisms which centralize G/M. AutN(G) ...
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ژورنال
عنوان ژورنال: Algebra and Logic
سال: 2013
ISSN: 0002-5232,1573-8302
DOI: 10.1007/s10469-013-9221-1